Counting master integrals: integration-by-parts procedure with effective mass

TL;DR

This paper demonstrates that a new relation between master integrals can be derived using the integration-by-parts method with an effective mass, revealing a broader family of such relations.

Contribution

It introduces a novel approach to derive relations between master integrals via the integration-by-parts technique with effective mass, expanding the understanding of integral relations.

Findings

New relation between master integrals derived

Integration-by-parts with effective mass reproduces recent results

Family of new relations between master integrals identified

Abstract

We show that the new relation between master integrals recently obtained in Ref. [1] can be reproduced using the integration-by-parts technique implemented with an effective mass. In fact, this relation is recovered as a special case of a whole family of new relations between master integrals.